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This work presents an efficient numerical method to evaluate the free energy density and associated thermodynamic quantities of (quasi) one-dimensional classical systems, by combining the transfer operator approach with a numerical…

数值分析 · 数学 2021-03-09 Christian B. Mendl , Folkmar Bornemann

We present closed analytical expressions for the particle and kinetic energy spatial densities at finite temperatures for a system of noninteracting fermions (bosons) trapped in a d-dimensional harmonic oscillator potential. For d=2 and 3,…

统计力学 · 物理学 2009-11-07 Brandon P. van Zyl , Rajat K. Bhaduri , Akira Suzuki , Matthias Brack

We show that the local density of states (LDOS) of a wide class of tight-binding models has a weak body-order expansion. Specifically, we prove that the resulting body-order expansion for analytic observables such as the electron density or…

数学物理 · 物理学 2022-07-20 Jack Thomas , Huajie Chen , Christoph Ortner

The package "fhi96md" is an efficient code to perform density-functional theory total-energy calculations for materials ranging from insulators to transition metals. The package employs first-principles pseudopotentials, and a plane-wave…

凝聚态物理 · 物理学 2009-10-30 Michel Bockstedte , Alexander Kley , Joerg Neugebauer , Matthias Scheffler

We exploit the many-body self-consistent Green's function method to analyze finite-temperature properties of infinite nuclear matter and to explore the behavior of the thermal index used to simulate thermal effects in equations of state for…

核理论 · 物理学 2019-08-23 Arianna Carbone , Achim Schwenk

We present a finite-temperature extension of the retarded cumulant Green's function for calculations of exited-state and thermodynamic properties of electronic systems. The method incorporates a cumulant to leading order in the screened…

强关联电子 · 物理学 2017-11-01 J. J. Kas , J. J. Rehr

Expressions for the thermodynamic potential of a Dirac fermion gas are represented at finite temperature with the chemical potential in an ultrastatic space $R^d\times S^N$. The high- and low- temperature expansions for the thermodynamic…

高能物理 - 理论 · 物理学 2012-10-31 Kiyoshi Shiraishi

We introduce the chemical potential in a system of two-flavored massless fermions in a chiral bag by imposing boundary conditions in the Euclidean time direction. We express the fermionic mean number in terms of a functional trace involving…

高能物理 - 理论 · 物理学 2011-07-19 M. De Francia , H. Falomir , M. Loewe

We formulate correlation functions for a one-dimensional interacting spinless fermion model at finite temperature. By combination of a lattice path integral formulation for thermodynamics with the algebraic Bethe ansatz for fermion systems,…

统计力学 · 物理学 2008-02-21 Kohei Motegi , Kazumitsu Sakai

Building on previous developments, we show that the Diagrammatic Monte Carlo technique allows to compute finite temperature response functions directly on the real-frequency axis within any field-theoretical formulation of the interacting…

强关联电子 · 物理学 2021-07-19 I. S. Tupitsyn , A. M. Tsvelik , R. M. Konik , N. V. Prokof'ev

Linear-scaling electronic structure methods based on the calculation of moments of the underlying electronic Hamiltonian offer a computationally efficient and numerically robust scheme to drive large-scale atomistic simulations, in which…

材料科学 · 物理学 2017-01-09 Eunan J. McEniry , Ralf Drautz

Based on the semi-classical theory, we investigate the thermodynamic properties of a dipolar Fermi gas. Through a self-consistent procedure, we numerically obtain the phase space distribution function at finite temperature. We show that the…

量子气体 · 物理学 2010-04-20 J. -N. Zhang , S. Yi

We consider atomistic geometry relaxation in the context of linear tight binding models for point defects. A limiting model as Fermi-temperature is sent to zero is formulated, and an exponential rate of convergence for the nuclei…

数学物理 · 物理学 2020-04-14 Christoph Ortner , Jack Thomas

Density functional theory has become the workhorse of quantum physics, chemistry, and materials science. Within these fields, a broad range of applications needs to be covered. These applications range from solids to molecular systems, from…

化学物理 · 物理学 2025-01-20 Christof Holzer , Yannick J. Franzke

Smearing techniques are widely used in first-principles calculations of metallic and magnetic materials, where they improve the accuracy of Brillouin zone sampling and lessen the impact of level-crossing instabilities. Smearing introduces a…

材料科学 · 物理学 2023-08-15 Flaviano José dos Santos , Nicola Marzari

Many phenomena of strongly correlated materials are encapsulated in the Fermi-Hubbard model whose thermodynamical properties can be computed from its grand canonical potential according to standard procedures. In general, there is no closed…

量子物理 · 物理学 2016-03-09 Pierre-Luc Dallaire-Demers , Frank K. Wilhelm

We have performed realistic atomistic simulations at finite temperatures using Monte Carlo and atomistic spin dynamics simulations incorporating quantum (Bose-Einstein) statistics. The description is much improved at low temperatures…

材料科学 · 物理学 2018-01-10 Lars Bergqvist , Anders Bergman

We discuss relevant aspects of the exact q-thermostatistical treatment for an ideal Fermi system. The grand canonical exact generalized partition function is given for arbitrary values of the nonextensivity index q, and the ensuing…

统计力学 · 物理学 2015-06-24 S. Martinez , F. Pennini , A. Plastino , M. Portesi

In order to study structure of the crust in neutron stars, we develop a finite-temperature Skyrme-Hartree-Fock method in the full three-dimensional coordinate space using the Fermion operator expansion method. It provides us with a possible…

核理论 · 物理学 2023-03-02 Takashi Nakatsukasa

For the case of finite life-time broadening the standard Kubo-formula for the optical conductivity tensor is rederived in terms of Green's functions by using contour integrations, whereby finite temperatures are accounted for by using the…

材料科学 · 物理学 2009-10-31 Laszlo Szunyogh , Peter Weinberger